The class width for this distribution is:

Question

BlackTom AI · Accepted Answer

The question asks about the class width for a distribution and provides five answer options. 
Option 1: '19' — This would imply a very large interval width. In typical grouped data problems, class width is a small, uniform span, not a single large number like 19, unless explicitly given. Without additional context, this is unlikely to be the standard class width. 
Option 2: '6' — Similar to 19, 6 would be a specific interval size, but unless the data or instructions specify a width of 6 units, this is not justified. The standard class width is usually a round, neat number (like 5 or 10) that fits the data grouping. 
Option 3: 'varies from class to class' — If the distribution uses a fixed-width approach (common in standard histograms and grouped data problems), the class width should be constant across all classes. Therefore saying it varies contradicts the usual fixed-width approach unless the problem explicitly states an irregular or variable-width scheme. 
Option 4: '5' — This is a clean, commonly used width for many datasets. If the problem expects a single, uniform interval size and the data examples or instructions indicate a width of 5 units, this would be correct. It aligns with standard practice when a fixed, simple class width is intended. 
Option 5: '20' — Like 19, this is a relatively large interval and would only be appropriate if the data were grouped in wide bands. Absent explicit instruction to use 20, this is unlikely to be the intended class width. 
Overall, many teaching problems and textbook examples choose a small, fixed class width such as 5, which matches Option 4. The other options either propose unusually large widths, contradict the notion of a fixed-width grouping, or rely on context that isn’t provided.

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